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Finding the Fourth Proportional to 118,175, 163,082 and 64,461.16

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Solution

The fourth proportional to 118,175, 163,082 and 64,461.16 is: 88,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,175 : 163,082 = 64,461.16 : x
  2. Step 2: Convert to fraction form
    118,175/163,082 = 64,461.16/x
  3. Step 3: Cross multiply
    118,175x = 163,082 × 64,461.16
  4. Step 4: Simplify right side
    118,175x = 10,512,454,895.12
  5. Step 5: Solve for x
    x = 10,512,454,895.12/118,175
  6. Step 6: Final answer
    x = 88,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.